Dresden 2026 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 54: Statistical Physics: General II
DY 54.2: Vortrag
Donnerstag, 12. März 2026, 15:15–15:30, ZEU/0114
Non-ergodicity and breakdown of hydrodynamics in a one-dimensional cold gas — Taras Holovatch1,2, Yuri Kozitsky3, Krzysztof Pilorz3, and •Yurij Holovatch1,2,4,5 — 1Yukhnovskii Institute for Condensed Matter Physics of the NAS of Ukraine, Lviv, Ukraine — 2L4 Collaboration and Doctoral College for the Statistical Physics of Complex Systems, Lviv-Leipzig-Lorraine-Coventry, Europe — 3Institute of Informatics and Mathematics, Maria Curie-Skłodowska University, Lublin, Poland — 4Centre for Fluid and Complex Systems, Coventry University, Coventry, UK — 5Complexity Science Hub, Vienna, Austria
We study dynamics of a 1D chain of elastically interacting particles with masses alternating between two different values, M,m,M,m,.. . Its dynamics is initiated by giving unit velocity in the positive direction to the particle located at the origin. For random particle positions, the resulting long-time behavior was found (S. Chakraborti et al., SciPost Phys. 2022, 13, 074) to posses rather remarkable features: (i) a shock front develops in the bulk of the gas and is governed by Euler hydrodynamics, (ii) the recoiled particles in the splatter move ballistically. In our study we have found (T. Holovatch et al., Phys. Rev. E 2025, 112, L052101) that for equidistant particle positions there exist mass ratios M/m for which (i) the splatter is absent; (ii) the number of simultaneously moving particles is at most three; (iii) the blast front moves in the ballistic way. We support our explicit calculations by MD simulations.
Keywords: blast wave; scaling; hydrodynamics; billiard; cold gas